Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. The height (in feet) of a rocket launched from the ground is given by the function f(t) = -16t2 + 160t. Match each value of time elapsed (in seconds) after the rocket’s launch to the rocket's corresponding instantaneous velocity (in feet/second).

Drag The Tiles To The Boxes To Form Correct Pairs. Not All Tiles Will Be Used. The Height (in Feet) Of

Answers

Answer 1

Answer:

The pairs are;

t,         v

2,       96

4,       32

5,       0

6,      -32

7,      -64

9,     -128

Step-by-step explanation:

The given equation is f(t) = -16·t² + 160·t

We have, the velocity, v = d(f(t))/dt = d(-16·t² + 160·t)/dt = -32·t + 160

Which gives;

t,                                 v  

0,    -32×(0) + 160 =   160

1,     -32×(1) + 160 =    128

2,    -32×(2) + 160 =    96

3,    -32×(3) + 160 =    64

4,    -32×(4) + 160 =     32

5,    -32×(5) + 160 =     0

6,    -32×(6) + 160 =   -32

7,    -32×(7) + 160 =    -64

8,    -32×(8) + 160 =    -96

9,    -32×(9) + 160 =   -128

The given velocity values are;

96, -64, 32, 0, -128, -32  which correspond to 2, 7, 4, 5, 9, 6

The pairs are;

t,         v

2,       96

4,       32

5,       0

6,      -32

7,      -64

9,     -128

Drag The Tiles To The Boxes To Form Correct Pairs. Not All Tiles Will Be Used. The Height (in Feet) Of

Related Questions

The circle shown above has a radius of 5 units, and the central angle of the sector that is shaded is 25π radians. Determine the area of the shaded sector, in terms of π. Enter the area of the sector.

Answers

Answer:

The answer is below

Step-by-step explanation:

Given that:

The radius of the circle (r) = 5 units

The central angle (θ) = 25π

A sector of a circle is the portion of a circle made up of two of its radii and an arc. The area of a sector that subtends with a central angle (θ) and a radius (r) is given by the formula:

[tex]Area\ of\ sector=\frac{\theta}{360} *\pi r^2[/tex]

Substituting the radius of the circle and the central angle:

[tex]Area\ of\ sector=\frac{\theta}{360} *\pi r^2\\\\Area\ of\ sector=\frac{25\pi}{360} *\pi (5)^2\\\\Area\ of\ sector=\frac{125\pi^2}{72}[/tex]

Plz Help I Will Mark Brainliest If Right!!!!!!!!!!!!!!!!!!!!!!!
Determine the domain of the function.

f as a function of x is equal to the square root of one minus x.

A). All real numbers
B). x > 1
C). x ≤ 1
D). All real numbers except 1

Answers

Hey There!!~

Your best answer choice is B). x > 1.

Good Luck!!


Solve for u.
– 22 = -8u + 6(u-7)
Simplify your answer as much as possible.

Answers

Step-by-step explanation:

- 22 = -8u + 6(u-7)

-22 = -8u + 6u - 42

8u - 6u = 22 - 42

2u = -20

u = -20/2

u = -10

Answer:

[tex] \boxed{ \boxed{ \mathrm{ \bold{ \blue{ - 10}}}}}[/tex]

Step-by-step explanation:

[tex] \mathrm{ - 22 = - 8u + 6(u - 7)}[/tex]

Distribute 6 through the parentheses

⇒[tex] \mathsf{ - 22 = -8u + 6u - 42}[/tex]

Collect like terms

⇒[tex] \mathrm{ - 22 = - 2u - 42}[/tex]

Swap the sides of the equation

⇒[tex] \mathrm{ -2u - 42 = - 22}[/tex]

Move constant to R.H.S and change it's sign

⇒[tex] \mathrm{ - 2u = - 22 + 42}[/tex]

Calculate

⇒[tex] \mathrm{ - 2u = 20}[/tex]

Divide both sides of the equation by -2

⇒[tex] \mathrm{ \frac{ - 2u}{ - 2} = \frac{20}{ - 2} }[/tex]

Calculate

⇒[tex] \mathrm{u = - 10}[/tex]

Hope I helped!

Best regards!

Write the expression 12-2 in simplest form.

Answers

Answer:

convert into a whole number 6

standard form of 6,32,94,000

Answers

Answer:

6.3294✖️10^7

Step-by-step explanation:

To find the statdard form, you place the decimal after the largest unit, int his case 6.

Then you write down all the numbers except for "0".

This becomes:

6.3294

Then, you add the multiplying sign, and count how many digits are there after 6, and in this case, there are 7, so you add the power "7" after 10.

6.3294✖️10^7

Hope this helped!

Have a nice day:)

The mean number of people per day visiting an art show in July was 110. If
20 more people each day visited the museum in August, what was the mean
number of people per day visiting in August?
A. 130
B. 620
C. 640
D. 110

Answers

Answer:

I believe the answer is A. 130

Answer:

A 130

Step-by-step explanation:

For what real numbers x is x 2 − 10 x + 25 negative?

Answers

Answer:

no real numbers

Step-by-step explanation:

x^2 − 10 x + 25

Factor

What 2 numbers multiply to 25 and add to -10

-5*-5 = 25

-5+-5 = -10

( x-5) (x-5)

This touches the graph at x =5

The parabola is positive so there are no values where the graph is negative

Answer:

No real solutions

Step-by-step explanation:

Part 1: Factoring the quadratic

The equation is in quadratic form - ax² + bx + c = 0.

Therefore, we can use a factoring technique to solve for x. I will use the quadratic formula - [tex]x=\frac{-b \pm \sqrt{b^{2}-4ac} }{2a}[/tex].

[tex]x=\frac{-(-10)\pm \sqrt{(-10)^{2}-4(1)(25)} }{2(1)}\\\\x=\frac{10\pm\sqrt{100-4(25)} }{2}\\\\x=\frac{10\pm\sqrt{100-100}}{2}\\\\x=\frac{10\pm\sqrt{0}}{2}\\\\x=\frac{10\pm0}{2}\\\\x=\frac{10}{2}\\\\\boxed{x=5}[/tex]

Part 2: Using discriminant to determine roots

Because the discriminant (square root portion of formula) was equivalent to zero, this is the only solution that proves the equation correctly. Therefore, there is no possible negative value that can be substituted for x  without altering the final value that the equation is equal to.

Consider the equation: x 2 − 6 = 2 − 18 x x 2 −6=2−18xx, squared, minus, 6, equals, 2, minus, 18, x 1) Rewrite the equation by completing the square. Your equation should look like ( x + c ) 2 = d (x+c) 2 =dleft parenthesis, x, plus, c, right parenthesis, squared, equals, d or ( x − c ) 2 = d (x−c) 2 =dleft parenthesis, x, minus, c, right parenthesis, squared, equals, d. 2) What are the solutions to the equation? Choose 1 answer: Choose 1 answer: (Choice A) A x = 9 ± 89 x=9±89x, equals, 9, plus minus, 89 (Choice B) B x = − 9 ± 89 x=−9±89x, equals, minus, 9, plus minus, 89 (Choice C) C x = 9 ± 89 x=9± 89 ​ x, equals, 9, plus minus, square root of, 89, end square root (Choice D) D x = − 9 ± 89 x=−9± 89 ​ x, equals, minus, 9, plus minus, square root of, 89, end square root

Answers

Answer:

1. (x+9)^2 = 89

2. (Choice D) D x = − 9 ± 89 x=−9± 89 ​ x, equals, minus, 9, plus minus, square root of, 89, end square root

Step-by-step explanation:

x^2 - 6 = 2 - 18x

1) rewrite the equation by completing the square

x^2 - 6 = 2 - 18x

x^2 + 18x = 2+6

x^2 + 18x = 8

Find the half of the coefficient of x and square it

18x

Half=9

Square half=(9)^2

=81

Add 81 to both sides

x^2 + 18x = 8

x^2 + 18x + 81 = 8 + 81

x^2 + 18x + 81 = 89

(x+9)^2 = 89

Check:

(x+9)(x+9)=89

x^2 + 9x + 9x + 81=89

x^2 + 18x +81 =89

2) (x+9)^2 = 89

√(x+9)^2 = √89

x+9=√89

x=√89 - 9

It can be rewritten as

x= -9 ± √89

(Choice D) D x = − 9 ± 89 x=−9± 89 ​ x, equals, minus, 9, plus minus, square root of, 89, end square root

A debt of $12,000 with interest at 5% compounded monthly is to be repaid by equal payments at the end of each year for three years and nine months. What is the term of repayment? None 12 months 3.9 years 3.75 years

Answers

Answer:

  3.75 years

Step-by-step explanation:

If the debt is to be paid in 3 years, 9 months, then the term of the loan is ...

  3 9/12 = 3 3/4 = 3.75 . . . years

2. The fraction 84 by 98 in simplest form is​

Answers

Answer: 6/7

Step-by-step explanation: Since the Greatest common factor of 84 and 98 is 14, you divide both sides of 84/98 by 14 to get 6/7

Answer:6/7

Step-by-step explanation:The greatest common factor of both numerator and denominator is 14.So if you divide 84 by 14 you will get 6 and if you divide 98 by 14 you get 7.

Evaluate without actual multiplication 1) 95x96 2)103x107

Answers

Answer:

:

"(100 + 3) (100 + 7)

Now, by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 100 , a = 3 , b = 7

= (100)² + (3+7)*100 + (3*7)

= 10000 + 1000 + 21

= 11021

.

(110 - 7) (110 - 3)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 100 , a = (-7) , b = (-3)

= (110)² + { (-7) + (-3) }*110 + {(-7)*(-3)}

= 12100 + (-10)*110 + 21

= 21200 - 1100 + 21

= 11021

.

➖➖➖➖➖➖➖➖➖➖

.

(90 + 5) (90 + 6)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 90 , a = 5 , b = 6

= (90)² + (5+6)*90 + (5*6)

= 8100 + 990 + 30

= 9120

.

(100 - 5) (100 - 4)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 100 , a = (-5) , b = (-4)

= (100)² + { (-5) + (-4) }*100 + 20

= 10000 + (-9)*100 + 20

= 10000 - 9000 + 20

= 10020 - 900

= 9120

.

➖➖➖➖➖➖➖➖➖➖

.

(100 + 4) (100 - 4)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 100 , a = 4 , b = (-4)

= (100)² + { 4 + (-4) }*100 + 4*(-4)

= 10000 + (4 - 4)*100 - 16

= 10000 + 0*100 - 16

= 10000 - 16

= 9984

.

(90 + 14) (90 + 6)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 90 , a = 14 , b = 6

= (90)² + (14 + 6)*90 + (14*6)

= 8100 + 20*90 + 84

= 8100 + 1800 + 84

= 9984"

This answer was in another question

This answer was given by BloomingBud

Step-by-step explanation:

Answer:

1) 9120 2) 11021

Step-by-step explanation:

95 * 96 = (100-5)(100-4) = 10000 - 500 - 400 + 20 = 9120

103 * 107 = (100+3)(100+7) = 10000 + 300 + 700 + 21 = 11021

What is the image point of (-5,9) after a translation left 1 unit and down 1 unit?

Answers

Answer: (-6,8)

Step-by-step explanation:

Translation is a rigid motion inn which every point of the figure moved in the same direction and for the same distance

Translation rules are

Left c units : [tex](x,y)\to(x-c,y)[/tex]

Down c units : [tex](x,y)\to(x,y-c)[/tex]

The image point of (-5,9) after a translation left 1 unit and down 1 unit will be:

[tex](-5,9)\to(-5-1,9-1)=(-6,8)[/tex]

Hence, the image point is (-6,8).

On a coordinate plane, triangle A B C is shown. Point A is at (negative 2, negative 4), point B is at (2, negative 1), and point C is at (3, negative 4). Triangle ABC is an isosceles triangle in which side AB = AC. What is the perimeter of triangle ABC? 5 + StartRoot 10 EndRoot units 10 + StartRoot 10 EndRoot units 10 StartRoot 10 EndRoot units 50 units

Answers

Could you show a picture please?

Answer:

B, 10+ /10 units

Step-by-step explanation:

give area of a rectangle measuring 12 ft by 9ft and please show all the work

Answers

Answer:

Area= 108ft²

Step-by-step explanation:

To find the area of a rectangle, you must do the following formula:

Area= Length × Width

A represents Area

L represents Length

W represents Width

Because the length (length is always longer than width) is 12 ft and the width (width is always shorter than length) is 9 ft. Your equation should be:

A= L × W

= 12ft × 9ft

= 108 ft²

Remember: The answer to a question asking for the area of a shape that is 2D, is always squared (let x represents the answer: x²). And the question asking the area of a shape that is 3D always cubed (let x represents the answer: x³). Always write the unit of measurement (let x represent the answer and cm as the example of unit of measurement: x cm²)

I hope this helps! I'm sorry if it's too complicated.

You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you decide to swim 151515 minutes longer than she does one day at practice. Write an equation for the number of minutes you swim, yyy, when your friend swims xxx number of minutes.

Answers

Answer:

y = x + 15

Step-by-step explanation:

My friend swims x minutes.

I swim 15 minutes more than my friends, so I swim x + 15 minutes.

I swim y minutes, so y equals x + 15

Answer: y = x + 15

E
What is the value of x in the equation 3x.. by y 18, when y27

Answers

Answer:

x = 15

Step-by-step explanation:

We need to find the value of x in the equation 3x – y = 18 when y = 27.

To find the value of x, put y = 27 in the above equation.

So,

3x - 27 = 18

3x = 45

x = 15

So, the value of x is 15.

1. At the end of one school day a teacher had 17 crayons left. The teacher remembered
giving out 14 crayons in the morning, getting 12 crayons back at recess, and giving out
11 crayons after lunch. How many crayons did the teacher have at the start of the
day?

Answers

Answer:

30 crayons

Step-by-step explanation:

Let x be the number of crayons he started with

gave out 14 crayons

x-14

Got 12 back

x-14+12

Gave out 11 after lunch

x-14+12 -11

This equals 17

x-14+12 -11 =17

Combine like terms

x-13 = 17

Add 13 to each side

x -13+13 =17+13

x = 30

Answer: 30

Step-by-step explanation:

For this problem work backwards. Start from 17 and add 14. You should get 31. Then subtract 12, which equals 19. Finally add 11 to 19, which equals 30. Basically you are doing the inverse operation to get your answer. Hope this helps!

243 as a power of 3

Answers

Answer:

243 as a power of 3

= 3^5

=243

determine if the following set of ordered pairs represents a quadratic function explain (5,7),(7,11),(9,14),(11,18)

Answers

Answer:the pairs are not a quadratic eqation

Step-by-step explanation:

The differences between the differences of the y value are not consistent

The set of ordered pairs (5,7),(7,11),(9,14),(11,18) does not represents a quadratic function

What is a function?

A relation is a function if it has only One y-value for each x-value.

Given,

The set of ordered pairs

(5,7),(7,11),(9,14),(11,18)

We have to determine whether the  (5,7),(7,11),(9,14),(11,18) is quadratic function or not.

Start by representing the function as an x-y table

x:-  5 || 7 || 9 || 11

y:-  7 ||  11 || 14 || 18

The difference between the y values is not same

11-7=4

14-11=3

18-14=4

For the function to be quadratic, the above difference must be the same and since they are not, then the function does not represent a quadratic function.

Hence, the set of ordered pairs (5,7),(7,11),(9,14),(11,18) does not represents a quadratic function

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ2

Answer ASAP, Will give brainliest!!

Answers

Answer:

First. 115°

Second. 65°

Third. 65°

Fourth. 7

Fifth. 425.25

First

angle DAB = angle ADC (since this is an isosceles trapezoid)

Second

In a trapezoid adjacent angle are supplmentary (that is their sum is 180°)

180-115 is 65°

Third

(Same reason as second)

Fourth

The side 3x+4 is same as the opposite side

So 3x + 4 = 25

on solving you get x = 7 in

Fifth

[tex]area \: = \frac{1}{2} \times length \: of \: the \: perpendicular \: (b1 + b2)[/tex]

area = 1/2 × 13.5 (20+43)

area = 1/2 × 13.5 × 63

Thus area is 425.25

Answer:

Step-by-step explanation:

1)As ABCD is isosceles trapezium,

∠ADC= ∠DAB

∠ADC = 115°

2) AD //BC

∠ADC + ∠DCB = 180°   {co interior angles}

115 + ∠DCB = 180

 ∠DCB = 180 - 115

 ∠DCB = 65°

3) As ABCD is isosceles trapezium,

∠CBA = ∠DCB

∠CBA = 65°

4) As ABCD is isosceles trapezium, non parallel sides are congruent.

AB = DC

3x + 4 = 25 in

3x = 25 - 4

3x = 21

x = 21/3

x = 7 in

5) height = 13.5 in

a= 43 in

b= 20 in

Area of trapezium = [tex]\frac{(a+b)*h}{2}\\[/tex]

                   [tex]= \frac{(43 +20)*13.5}{2}\\\\=\frac{63*13.5}{2}\\\\\\= 425.25 in^{2}[/tex]

A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 6 gallons.

Answers

Answer:

3.625 gpm

Step-by-step explanation:

for 0°<θ<-180° which of the primary trigonometric functions may have positive values?

Answers

sine and cosecant.

you can see the graph or on unit circle, as the for these ratios, (which depend on y coordinate) 1st and 2nd quadrant have positive y coordinate

Find the next three terms in the geometric sequence.

Answers

Answer: D

Step-by-step explanation:

The common difference is  -2/3  so using the last term which is -8/27 multiply it by -2/3 to find the next terms.

[tex]-\frac{8}{27} * -\frac{2}{3}[/tex] = [tex]\frac{16}{81}[/tex]    

[tex]\frac{16}{81} * -\frac{2}{3} = -\frac{31}{243}[/tex]  

[tex]-\frac{32}{243} * -\frac{2}{3} = \frac{64}{729}[/tex]  

a rectangle is 12 in wide and 18 in tall.if it is reduce to a height of 3 inches, then how wide will it be?

Answers

Answer:

2 in

Step-by-step explanation:

18/3=6 , 6 is the scale factor

12/6=2

Answer:

width= 2

Step-by-step explanation:

18 inches is the original height and we are now reducing that to 3 inches.

In order to do that, we have to divide 18 by 3 which equals 6.

Next, take the width of the rectangle, which is twelve and divide it by the scale factor of 6 which  equals 2.

Your final answers should be: width= 2

What is the 8th term of the sequence? −16, 24, −36, 54, ... −729/8 2187/8 −2187/8 729/8

Answers

Answer:

The answer is

[tex] \frac{2187}{8} [/tex]

Step-by-step explanation:

The sequence above is a geometric sequence

For an nth term in a geometric sequence

[tex]A(n) = a ({r})^{n - 1} [/tex]

where n is the number of terms

r is the common ratio

a is the first term

From the question

a = - 16

To find the common ratio divide the previous term by the next term

That's

r = 24/-16 = -3/2 or -36/24 = - 3/2

Since we are finding the 8th term

n = 8

Substitute the values into the above formula

That's

[tex]A(8) = - 16 ({ - \frac{3}{2} })^{8 - 1} [/tex][tex]A(8) = - 16 ({ - \frac{3}{2} })^{7} [/tex][tex]A(8) = - 16( - \frac{2187}{128} )[/tex]

We have the final answer as

[tex]A(8) = \frac{2187}{8} [/tex]

Hope this helps you

is 1 whole 1 by 3 considered as an integer??

Answers

Answer:

No it's not.

Step-by-step explanation:

[tex]1 \frac{1}{3} = \frac{4}{3} = 1.333333[/tex]

Integers are set of numbers consisting

Whole numberNatural numberNegative numbers

It doesn't consist

Fractions &Decimals

Hope this helps ;) ❤❤❤

Answer:

[tex]\boxed{\sf No}[/tex]

Step-by-step explanation:

[tex]\displaystyle 1 \frac{1}{3} =1.3333333...[/tex]

Integers are whole numbers that can be positive or negative. Integers do not include fractions and decimals.

anyone know how to solve a functions equation such as x^2-x-x <0

Answers

Answer:

Step-by-step explanation:

[tex]x^{2} -x-x<[/tex] 0

[tex]x^{2} -2x[/tex] < 0

x^2-2x+1<1

(x-1)^2<1

-1<x-1<1

0<x<2

[tex](x-1)^{2}[/tex][tex](x-1)^{2}[/tex]

Given that ΔABC is a right triangle with the right angle at C, which of the following is true?

1. tan A = 1/(tan B)
2. tan A = sin B
3. cos A = 1/(cos B)
4. sin B = 1/(sin A)

Answers

Answer:

1. tan A = 1/(tan B)

Step-by-step explanation:

By definition,

tangent A = opposite / adjacent = a / b

and

tangent B = opposite / adjacent = b / a

Therefore tangent A = a/b = 1/tan(B)

Answer: Tan a=tan b

I belive

Step-by-step explanation:

PLEASE - Select the correct answer.

Answers

Answer:

D

Step-by-step explanation:

i need help with this question ​

Answers

Answer:

1000ml

Step-by-step explanation:

4 days she drank ½ of the bottle

so she drank ⅛ l of juice everyday

so

1000ml is the answer

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